Math C056
Exam 3
Fall Semester 2009
1. Subtract: 64 0'8" 9 41'17"
a. 55º19′9″
b. 53º41′9″
c. 54º51′9″
d. 55º18′51′
e. 54º18″51″
Refer to the following figure to determine to answer problem 2.
The sum of all angles is 720 . 1
3
4
6. 2
5 280 24'10".
3
1
6
4
2. Determine 1.
a. 159°11′40″
b. 439°35′50″
d. 39°47″55″
c. 360°
e. 90°
3. Round 2 0'17" as decimal degrees. Round to 4 decimal places if necessary.
a. 2.0047º
b. 2.0017º
c. 2.0170º
d. 2.4700º
e. 2.4717º
4. Express 84.004 as degrees, minutes, and seconds. Round to the nearest second if
necessary.
a. 84º14′4″
b. 84º0′14″
c. 84°4′14″
d. 84°14′0″
e. 84°0′0″
5. Write the complement of 45 2'7".
a. 44°57′53″
b. 134°57′53″ c. 45°58′53″
d. 135°58′53″
Refer to the figure below to answer problems 6 and 7. Note that line AB
4
e. 22°30′
line CD.
3
6. Find 3 when 1 110 .
a. 74°
b. 36°
c. 110°
d. 70°
e. 16°
7. Find 4 when
a. 34°
c. 106°
d. 37°
e. 72°
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2 146 .
b. 74°
Refer to the diagram below to answer problem 8.
x
8. Determine the value of x to the nearest meter.
a. 52 m
b. 103 m
c. 70 m
d. 29 m
e. 81 m
Refer to the diagram below to answer problems 9, 10, and 11. Vertical braces A and B
are added to the frame shown below. Determine the dimensions E, F, and G in feet.
F
H
E
G
9. Determine the dimension of E.
a. 4. 3 ft
b. 6. 6 ft
c. 3.75 ft
d. 5.25 ft
e. 7.44 ft
10. Determine the dimension of F.
a. 7.75 ft
b. 3.125 ft
c. 7. 6 ft
d. 8.75 ft
e. 9. 3 ft
11. Determine the dimension of G.
a. 20 ft
b. 8.5 ft
c. 9. 1 ft
d. 5.625 ft
e. 7.0 9 ft
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12. Find the number of degrees in each interior angle of a 10-sided polygon.
a. 1440°
b. 180°
c. 360°
d. 1800°
e. 144°
13. Four interior angles of a pentagon are 97 , 142 , 76 , and 103 . Find the fifth angle.
a. 540°
b. 180°
c. 122°
d. 72°
e. 144°
14. Given: radius = 8.0 inches; 60º arc. Determine the arc length.
a. 3.14 in
b. 8.4 in
c. 6.28 in
d. 1. 6 in
e. 3. 3 in
15. Express 2.0 radians as degrees.
a. 180°
b. 57.3°
c. 45.7°
d. 114.6°
e. 71.4°
16. Express 270º as radians.
a. 3.1 radians b. 1.6 radians
c. 4.7 radians
d. 6.3 radians
e. 3 radians
Problems 17, 18, and 19 refer to the following figure. ABCDEF is a regular hexagon.
17. Determine the number of degrees in BC .
a. 60°
b. 6°
c. 120°
d. 180°
e. 240°
18. Determine the number of degrees in CDE .
a. 180°
b. 60°
c. 360°
d. 120°
e. 30°
19. Determine the number of degrees in 1 .
a. 240°
b. 120°
c. 60°
d. 180°
e. 90°
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For problems 20, 21, and 22, refer to the figure below. Assume BCA 255 18'
20. Find 1.
a. 60°
b. 90°
c. 120°
d. 30°
e. 45°
21. Find 2.
a. 37°39′
b. 127°18′
c. 52°21′
d. 26°10′30″
e. 255°18′
22. Find 3.
a. 52°21′
b. 26°10′30″
c. 255°18′
d. 127°18′
e. 37°39′
For problems 23 and 24, refer to the figure below. E and F are tangent points.
23. Determine
a. 48°
P when EF
24. Determine
a. 360°
P when EGF
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156 .
b. 204°
b. 90°
c. 180°
d. 60°
e. 24°
c. 180°
d. 48°
e. 270°
3EF.
Refer to the figure below to answer questions 25 and 26.
25. Find diameter M when diameter H = 7.20 m, diameter T = 5.80 m, e = 4.70 m,
and d = 4.10 m.
a. 13.00 m
b. 21.80 m
c. 9.40 m
d. 14.50 m
e. 15.30 m
26. Find dimension f when diameter T = 3.60 m, diameter H = 5.60 m, e = 7.80m,
and d = 6.20 m.
a. 9.40 m
b. 13.00 m
c. 14.50 m
d. 15.30 m
e. 14.00 m
Refer to the diagram below to answer problem 27. The cross section of a dovetail slide is
shown below. Before the dovetail was cut, the cross section was rectangular in shape.
27. Find the cross-sectional area of the dovetail slide.
a. 114.56 cm2 b. 20.46 cm2
c. 94.1 cm2
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d. 14.30 cm2
e. 40.50 cm2
Problems 28 and 29 pertain to the following situation and diagram.
A baseplate in the shape of a parallelogram is shown below.
28. Find the plate area.
a. 2390.6 cm2 b. 2727.0 cm2
c. 4713.4 cm2
d. 3779.1 cm2
e. 1363.5 cm2
29. Find the weight of the plate if 1.00 square meter weighs 68.4 kilograms.
a. 1641.6 kg
b. 32.9 kg
c. 16.4 kg
d. 135.7 kg
e. 239.2 kg
30. Find the cross-sectional area of the spacer below.
a. 2.1 cm2
b. 3.3 cm2
c. 21.8 cm2
d. 13.7 cm2
e. 9.4 cm2
31. A minipark is constructed in the shape of a sector with 73′6″ radius and a 135º central
angle. The cost of grading and landscaping the park is $7.20 per square yard. Find
the total cost of grading and landscaping the park.
a. $45,823.50 b. $14,000.25 c. $23,765.45 d. $7,239.80 e. $5,091.50
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32. Find the area of the shaded segment shown below.
a. 8.04 m2
b. 7.03 m2
c. 1.01 m2
d. 4.02 m2
e. 3.51 m2
33. A solid right cylinder 0.90 meter high contains 0.80 cubic meter of material.
Compute the cross-sectional area of the cylinder.
a. 2.67 m2
b. 0.89 m2
c. 1.45 m2
d. 0.72 m2
e. 1.125 m2
Problems 34, 35, and 36 pertain to the following situation and diagram.
An automobile gasoline tank is shown below.
34. Compute the capacity of the tank in liters
a. 72.00 L
b. 106.56 L
c. 2.66 L
d. 89.28 L
e. 2.88 L
35. Compute the number of square centimeters of tank surface area.
a. 0.80 m2
b. 1.184 m2
c. 1.283 m2
d. 1.421 m2
e. 0.942 m2
36. The sheet steel used to fabricate the tank weighs 11.08 kilograms per square meter.
Compute the weight of the tank.
a. 88.64 kg
b. 131.19 kg
c. 14.22 kg
d. 157.55 kg
e. 104.39 kg
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37. A regular pyramid with a base area of 54.6 square feet contains 210.5 cubic feet of
material. Find the height of the pyramid.
a. 3.8 ft
b. 7.9 ft
c. 12.8 ft
d. 11.6 ft
e. 5.5 ft
38. The frustum of a regular pyramid has a smaller base perimeter of 18.0 meters and a
larger base perimeter of 26.0 meters. The slant height of 5.60 meters. Find the lateral
area.
a. 246.4 m2
b. 212.5 m2
c. 98.2 m2
d. 114.7 m2
e. 123.2 m2
39. A solid brass casting in the shape of a right circular cone has a base diameter of 4.36
inches and a height of 3.94 inches. Find the weight of the casting. Brass weighs
0.302 pound per cubic inch.
a. 11.84 lb
b. 1.32 lb
c. 7.55 lb
d. 5.92 lb
e. 17.76 lb
40. Compute the number of square inches of fabric in the lampshade shown below.
a. 72.39 in2
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b. 289.56 in2
c. 144.78 in2
d. 421.88 in2
e. 358.76 in2